6.1 Perpendicular and Angle Bisector

Point C is in the interior of ∠DEF. If ∠DEC and ∠CEF are congruent, then ray EC is the _________________________ of ∠DEF. 

• angle bisector

• perpendicular bisector

• midpoint

Find GH.

• 4.6

• 3.6

• 9.2

• 7.2

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Find QR.

• 4.7

• 1.3

• 2.6

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Find AB.

Tags

CCSS.8.G.B.7

Find UW.

Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning.

• No. You would need to know that $\overline{LK\ }\ \perp\ \overline{MK}$ .

• No. You would need to know that $\overline{KP}\ \perp\ \overline{LM}$ .

• Yes. $\overline{LN}$ ≅ $\overline{MN}$ and $\overrightarrow{NK}$ $\perp$ $\overline{LM}$ , so $\overrightarrow{NK}$ is the perpendicular bisector of $\overline{LM}$ and P is on $\overrightarrow{NK}$ .

• Yes. $\overrightarrow{NK}$ ⊥ $\overline{LM}$ , so $\overrightarrow{NK}$ is the perpendicular bisector of $\overline{LM}$ and P is on $\overrightarrow{NK}$

Tags

CCSS.HSG.GPE.B.5

Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning.

• No. You would need to know that m∠MNP = 90º.

• No. You would need to know that either  $\overline{LN}\ \cong\ \overline{MN}$  or  $\overline{LP}\ \cong\ \overline{MP}$  

• Yes.  $\overline{LN}\ \cong\ \overline{NP}$  and  $\overrightarrow{NP}\ \perp\ \overline{LM}$  so  $\overline{NP}$  is the perpendicular bisector of  $\overline{LM}$  .

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.5

Find m∠ABD.

Tags

CCSS.7.G.B.5

Find PS.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.D.11

Find m∠KJL.

• 28

• 16

• 4

• 3

Tags

CCSS.HSG.CO.C.10